Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions

Abstract

We introduce a new framework of highly-anisotropic hydrodynamics that includes dissipation effects. Dissipation is defined by the form of the entropy source that depends on the pressure anisotropy and vanishes for the isotropic fluid. With a simple ansatz for the entropy source obeying general physical requirements, we are led to a non-linear equation describing the time evolution of the anisotropy in purely-longitudinal boost-invariant systems. Matter that is initially highly anisotropic approaches naturally the regime of the perfect fluid. Thus, the resulting evolution agrees with the expectations about the behavior of matter produced at the early stages of relativistic heavy-ion collisions. The equilibration is identified with the processes of entropy production.

8 pages, 10 figures

References in corpus (10)

• Some Features of the Glasma
• Dissipative Dynamics of Highly Anisotropic Systems
• Space-time evolution of bulk QCD matter
• Non-boost-invariant motion of dissipative and highly anisotropic fluid
• Free-streaming approximation in early dynamics of relativistic heavy-ion collisions
• Elliptic Flow from a Hybrid CGC, Full 3D Hydro and Hadronic Cascade Model
• Thermalization of a color glass condensate and review of the "Bottom-Up" scenario
• Anisotropic fluid dynamics in the early stage of relativistic heavy-ion collisions
• Early evolution of transversally thermalized partons
• Early anisotropic hydrodynamics and the RHIC early-thermalization and HBT puzzles

Cited by in corpus (9)

• Dissipative Dynamics of Highly Anisotropic Systems
• Boost-Invariant (2+1)-dimensional Anisotropic Hydrodynamics
• Highly-anisotropic hydrodynamics in 3+1 space-time dimensions
• Instabilities of an anisotropically expanding non-Abelian plasma: 3D+3V discretized hard-loop simulations
• Quarkonium dissociation by anisotropy
• Hydrodynamics of anisotropic quark and gluon fluids
• Chromoelectric oscillations in a dynamically evolving anisotropic background
• Light Probes in a Strongly Coupled Anisotropic Plasma
• Anisotropic hydrodynamics -- basic concepts